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Finding the Fourth Proportional to 9,396, 12,963.26 and 5,359.93

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Solution

The fourth proportional to 9,396, 12,963.26 and 5,359.93 is: 7,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 12,963.26 = 5,359.93 : x
  2. Step 2: Convert to fraction form
    9,396/12,963.26 = 5,359.93/x
  3. Step 3: Cross multiply
    9,396x = 12,963.26 × 5,359.93
  4. Step 4: Simplify right side
    9,396x = 69,482,117.01
  5. Step 5: Solve for x
    x = 69,482,117.01/9,396
  6. Step 6: Final answer
    x = 7,394.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.